• Korean Journal of Culture and Social Issue
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• v.27 no.4
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• pp.457-474
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• 2021

The study aimed to investigate the relation between patriarchal family environment and zero-sum beliefs, and the mediating effect of sexism on the relation based on the Instrumental Model of Group Conflict (Esses et al., 1998). This study also examined the moderating effect of gender on the relation between patriarchal family environment and sexism, and the moderated mediating effect of gender through sexism. Participants were 310 first-year college students (234 males and 76 females) in the college of science and engineering, and they completed a survey consisting of patriarchal family environment, sexism, and zero-sum belief. Data were analyzed using SPSS Macro Process, and the results indicated that the relation between patriarchal family environment and zero-sum beliefs was fully mediated by sexism. In addition, the relation between patriarchal family environment and sexism was moderated by gender. Specifically, patriarchal family environment significantly predicted sexism for men, but not for women. Moreover, only for men, sexism mediated the relation between patriarchal family environment and zero-sum beliefs. Therefore, patriarchal family environment could cause sexism which could promote zero-sum beliefs for men.

• East Asian mathematical journal
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• v.38 no.1
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• pp.85-94
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• 2022

Recently, an LWE-based commitment scheme is proposed. Their construction is statistically hiding as well as computationally binding. On the other hand, the construction of related zero-knowledge protocols is left as an open problem. In this paper, we present zero-knowledge protocols with hardness based on the LWE problem. we show how to instantiate efficient zero-knowledge protocols that can be used to prove linear and sum relations among these commitments. In addition, we show how the variant of LWE, spLWE problem, can be used to instantiate efficient zero-knowledge protocols.

• Communications of the Korean Mathematical Society
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• v.23 no.2
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• pp.191-199
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• 2008

We investigate the relation between the vector variable bi-additive functional equation $f(\sum\limits^n_{i=1} xi,\;\sum\limits^n_{i=1} yj)={\sum\limits^n_{i=1}\sum\limits^n_ {j=1}f(x_i,y_j)$ and the multi-variable quadratic functional equation $$g(\sum\limits^n_{i=1}xi)\;+\;\sum\limits_{1{\leq}i<j{\leq}n}\;g(x_i-x_j)=n\sum\limits^n_{i=1}\;g(x_i)$$. Furthermore, we find out the general solution of the above two functional equations.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.61-68
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• 2022

Let M_p := 2^p - 1 be a Mersenne prime. In this article, we find integers a, b, c, d, e and n satisfying $\sum_{t=0}^{n}\;\({an+b\\ct+d}\)\;=\;M_{p^e}$ given a Mersenne prime number M_p. In order to find a special case that satisfies the above results, we reprove an well-known relation of a certain sum of binomial coefficients and a divisor function.

• Journal of Korean Academy of Nursing Administration
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• v.6 no.1
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• pp.5-18
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• 2000

This study was conducted to analyze the degree of department satisfaction and correlation accordng to nurses's clinical characteristics. Data fors tudy were selected August, 1999. The sample coisted of 512 nurses working in K university hosptal in Seoul. The collected materials have been alyzed by percentage, average, t-test, ANOVA, arson Correlation Coefficiency using SPSS window 8.0 program. The result were as the follows ; 1. Fifty-one percent answered to be satisfactory in current department of work, and nurses who had been experienced the transfer are fifty percent, and nurse specialist is eight point two percent. 2. The order of the degree of department duty satisfaction was mutual action, professinal position, autonomy, assignment desire, relation between the doctor and nurses, wage, administration. 3. The result of the degree of department duty satisfaction according to the age has shown significant differences in administration and assignment desire, and the result of the degree of department duty satisfaction according to the education and religion has shown significant differences in administration, and the result of the degree of department duty satisfaction according to marital status has shown significant differences in wage and administration. 4. The result of the degree of department duty satisfaction according La the position has shown significant differences in administration, assignment desire and the sum of duty satisfaction, and the result of the degree of department duty satisfaction according to the nurse specialist has shown no significant differences in total areas, and the result of the degree of department duty satisfaction according to the transfer has shown significant differences in relation between the doctor and nurses, administration, autonomy and the sum of duty satisfaction. 5. The result of the degree of department duty satisfaction according to the nursing career and present assignment career has shown no significant differences in total areas, and the result of degree of department duty satisfaction according to the present assignment has shown significant differences in relation between doctor and nurses, administration, assignment desire and the sum of duty satisfaction. 6. The result of the degree of department duty satisfaction according to the request and experiences of trasfer has shown significant differences in wage, administration, assignment desire and the sum of duty satisfaction 7. The result of the degree of department duty satisfaction according to the degree of satisfaction of present assignment has shown no significant difference in professional position 8. The result of relation of nurses'a clinical characteristics and the degree of department duty satisfaction and the sum of duty satisfaction has shown no significant differences in age, present assignment career, but the result of nursing career has shown significant differences in relation between doctor and nurse, administration, autonomy, assignment desire and the sum of duty satisfaction. and the satisfaction of present assignment which was very effective on duty satisfaction was as significant correlation with wage, professinal position, relation between doctor and nurses, administration, autonomy assignment desire, mutual action and the sum of duty satisfaction. The above result show us that the degree of wage is effected on marital status, experience of transfer, degree of satisfaction of present assignment, request of transfef and the relation between doctor and nurses is effected on experience of transfer, present assignment, degree of satisfaction of present assignment and the administration is effected on age, education, marital status position, experiences of transfer, request of transfer, degree of satisfaction of present assignment and the autonomy is effected on experience of transfer, degree of satisfaction of present assignment and the assignment desire is effected on position, pre sent assignment, degree of satisfaction of present assignment, request of transfer and the mutual action is effected on present assignment. and the sum of duty satisfaction is effected on marital status, position, experience of transfer, request of transfer, present assignment, degree of satisfaction of present assignment.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2003.11a
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• pp.383-388
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• 2003

As an effective way of response evaluation in structural vibration analysis, the phase vector sum(PVS) method used in shaft torsional vibration analysis is introduced. Basic relation of PVS applicable to structural problem is derived and applied to Diesel engine structures. Concepts of forced phase vector sum (FPVS) and significance level (SL) are proposed to visualize the correlation between excitation orders and vibration modes in the SL map. The maximum responses and SL are compared and reviewed to confirm the validity of the method. It is regarded FPVS is adequate to newly evaluate the structural vibration based on excitation information.

• Bulletin of the Korean Mathematical Society
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• v.45 no.2
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• pp.277-283
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• 2008

The paper deals with the values at the negative integers of a certain Dirichlet series related to the Riemann zeta function and with the expression of these values in terms of Bernoulli numbers.

• Communications of the Korean Mathematical Society
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• v.11 no.1
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• pp.139-145
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• 1996

We show how some interesting results involving series summation and the digamma function are established by means of Riemann-Liouville operator of fractional calculus. We derive the relation $$ \frac{\Gamma(\lambda)}{\Gamma(\nu)} \sum^{\infty}_{n=1}{\frac{\Gamma(\nu+n)}{n\Gamma(\lambda+n)}_{p+2}F_{p+1}(a_1, \cdots, a_{p+1},\lambda + n; x/a)} = \sum^{\infty}_{k=0}{\frac{(a_1)_k \cdots (a_{(p+1)}{(b_1)_k \cdots (b_p)_k K!} (\frac{x}{a})^k [\psi(\lambda + k) - \psi(\lambda - \nu + k)]}, Re(\lambda) > Re(\nu) \geq 0 $$ and explain some special cases.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.359-380
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• 2021

The main purpose and motivation of this work is to investigate and provide some new results for coefficients derived from eta quotients related to 3. The result of this paper involve some restricted divisor numbers and their convolution sums. Also, our results give relation between the coefficients derived from infinite product, infinite sum and the convolution sum of restricted divisor functions.

• Kyungpook Mathematical Journal
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• v.46 no.4
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• pp.503-507
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• 2006

Let X be a Tychonoff space and ${\sum}(X)$ the set of all the subrings of C(X) that contain $C^*(X)$. For any A(X) in ${\sum}(X)$ suppose $_{{\upsilon}A}X$ is the largest subspace of ${\beta}X$ containing X to which each function in A(X) can be extended continuously. Let us write A(X) ~ B(X) if and only if $_{{\upsilon}A}X=_{{\upsilon}B}X$, thereby defining an equivalence relation on ${\sum}(X)$. We have shown that an A(X) in ${\sum}(X)$ is isomorphic to C(Y ) for some space Y if and only if A(X) is the largest member of its equivalence class if and only if there exists a subspace T of ${\beta}X$ with the property that A(X)={$f{\in}C(X):f^*(p)$ is real for each $p$ in T}, $f^*$ being the unique continuous extension of $f$ in C(X) from ${\beta}X$ to $\mathbb{R}^*$, the one point compactification of $\mathbb{R}$. As a consequence it follows that if X is a realcompact space in which every $C^*$-embedded subset is closed, then C(X) is never isomorphic to any A(X) in ${\sum}(X)$ without being equal to it.